3564dcef4946948d131bea6895116dde  1-s2.0-S0022247X24006590-main.pdf
e6acdc9ce57974c4841a32df331431bd874f53e0  1-s2.0-S0022247X24006590-main.pdf
5a3e01cbdde866a2737059c45bc8cfee363ab19ac26c13da63d15007693dddfe  1-s2.0-S0022247X24006590-main.pdf

Title:           Analyticity of the flow for the aggregation equation
Subject:         Journal of Mathematical Analysis and Applications, 541 (2025) 128737. 10.1016/j.jmaa.2024.128737
Author:          J.M. Burgués
Creator:         Elsevier
Producer:        Acrobat Distiller 24.0 (Windows)
CreationDate:    Wed Jan 29 14:43:49 2025 CET
ModDate:         Wed Jan 29 14:43:49 2025 CET
Custom Metadata: yes
Metadata Stream: yes
Tagged:          yes
UserProperties:  no
Suspects:        no
Form:            none
JavaScript:      no
Pages:           60
Encrypted:       no
Page size:       544.252 x 742.677 pts
Page rot:        0
File size:       730151 bytes
Optimized:       yes
PDF version:     1.7


name                                 type              encoding         emb sub uni object ID
------------------------------------ ----------------- ---------------- --- --- --- ---------
GDHKIG+LMRoman7-Regular              Type 1C           Custom           yes yes yes   1437  0
GDHKNN+MT2HRBS                       Type 1C           WinAnsi          yes yes no    1452  0
GDHKNO+LMMathItalic6-Regular         Type 1C           Custom           yes yes yes   1453  0
GDHKOO+LMRoman6-Regular              Type 1C           Custom           yes yes yes   1454  0
GDHKOP+LMMathItalic8-Regular         Type 1C           Custom           yes yes yes   1455  0
GDHKPA+LMRomanDemi10-Regular         Type 1C           Custom           yes yes yes   1474  0
GDHLAB+LMRoman10-Regular             Type 1C           Custom           yes yes yes   1475  0
GDHLAC+MT2HRBT                       Type 1C           WinAnsi          yes yes no    1476  0
GDHLAD+LMMathItalic7-Regular         Type 1C           Custom           yes yes yes   1481  0
GDHLAE+LMMathItalic10-Regular        Type 1C           Custom           yes yes yes   1477  0
GDHLAF+LMMathSymbols10-Regular       Type 1C           Custom           yes yes yes   1478  0
GDHKKG+LMSans8-Regular               Type 1C           Custom           yes yes yes   1446  0
GDHLBG+LMMathExtension10-Regular     Type 1C           Custom           yes yes yes   1479  0
GDHLBH+LMMathSymbols7-Regular        Type 1C           Custom           yes yes yes   1480  0
GDHKKH+LMRoman12-Regular             Type 1C           Custom           yes yes yes   1440  0
GDHKKI+Helvetica                     Type 1C           WinAnsi          yes yes no    1441  0
GDHKNI+LMRoman17-Regular             Type 1C           Custom           yes yes yes   1450  0
GDHKNJ+LMMathSymbols8-Regular        Type 1C           Custom           yes yes yes   1449  0
GDHKNK+LMRoman7-Italic               Type 1C           Custom           yes yes yes   1464  0
GDHKNL+LMRomanCaps10-Regular         Type 1C           Custom           yes yes yes   1465  0
GDHKNM+LMRoman8-Regular              Type 1C           Custom           yes yes yes   1466  0
GDHLCH+LMRoman10-Italic              Type 1C           Custom           yes yes yes    354  0
GDHLHG+LMRoman5-Regular              Type 1C           Custom           yes yes yes    360  0
GDHLHH+LMMathItalic5-Regular         Type 1C           Custom           yes yes yes    359  0
GDHLHI+wasy10                        Type 1C           Custom           yes yes no     361  0
GDHLKI+MSAM10                        Type 1C           Custom           yes yes no     371  0
GDHLLJ+LMMathSymbols5-Regular        Type 1C           Custom           yes yes yes    378  0
GDHLPI+MT2HRBF                       Type 1C           WinAnsi          yes yes no     380  0
GDHMCI+MSBM10                        Type 1C           Custom           yes yes yes    383  0


Jhove (Rel. 1.28.0, 2023-05-18)
 Date: 2025-03-29 02:08:03 CET
 RepresentationInformation: 1-s2.0-S0022247X24006590-main.pdf
  ReportingModule: PDF-hul, Rel. 1.12.4 (2023-03-16)
  LastModified: 2025-03-28 11:59:26 CET
  Size: 730151
  Format: PDF
  Version: 1.7
  Status: Well-Formed and valid
  SignatureMatches:
   PDF-hul
  MIMEtype: application/pdf
  Profile: Linearized PDF
  PDFMetadata: 
   Objects: 1580
   FreeObjects: 752
   IncrementalUpdates: 1
   DocumentCatalog: 
    PageLayout: SinglePage
    PageMode: UseOutlines
    Language: en
    Outlines: 
     Item: 
      Title: Analyticity of the flow for the aggregation equation
      Destination: yjmaa128737.title.0:1
      Children: 
       Item: 
        Title: 1 Introduction
        Destination: yjmaa128737.section.1:2
        Children: 
         Item: 
          Title: 1.1 Historical
          Destination: yjmaa128737.subsection.1:6
         Item: 
          Title: 1.2 Idea of the proof
          Destination: yjmaa128737.subsection.2:7
         Item: 
          Title: 1.3 Plan of the paper
          Destination: yjmaa128737.subsection.3:8
       Item: 
        Title: 2 Preliminaries
        Destination: yjmaa128737.section.2:9
        Children: 
         Item: 
          Title: 2.1 Differential forms
          Destination: yjmaa128737.subsection.1:11
         Item: 
          Title: 2.2 The fundamental operators
          Destination: yjmaa128737.subsection.2:12
       Item: 
        Title: 3 The patch problem for the aggregation equation
        Destination: yjmaa128737.section.3:13
        Children: 
         Item: 
          Title: 3.1 The flow in terms of the density
          Destination: yjmaa128737.subsection.1:14
         Item: 
          Title: 3.2 Analyticity of the flow: proof of Theorem 1
          Destination: yjmaa128737.subsection.2:17
         Item: 
          Title: 3.3 Global analyticity in time
          Destination: yjmaa128737.subsection.3:21
       Item: 
        Title: 4 Construction of an analytic solution for the flow-density equation (14)
        Destination: yjmaa128737.section.4:22
        Children: 
         Item: 
          Title: 4.1 A priori relationships
          Destination: yjmaa128737.subsection.1:23
          Children: 
           Item: 
            Title: 4.1.1 Extension of the recurrence to the boundary
            Destination: yjmaa128737.subsubsection.1:28
         Item: 
          Title: 4.2 Estimates
          Destination: yjmaa128737.subsection.2:29
         Item: 
          Title: 4.3 End of the proof of Theorem 2
          Destination: yjmaa128737.subsection.3:32
       Item: 
        Title: 5 Estimates of the Riesz operators
        Destination: yjmaa128737.section.5:33
        Children: 
         Item: 
          Title: 5.1 Basic geometric lemmas
          Destination: yjmaa128737.subsection.1:34
         Item: 
          Title: 5.2 Decomposition of the singularities
          Destination: yjmaa128737.subsection.2:37
         Item: 
          Title: 5.3 The estimates
          Destination: yjmaa128737.subsection.3:39
          Children: 
           Item: 
            Title: 5.3.1 Uniform estimates
            Destination: yjmaa128737.subsubsection.1:41
         Item: 
          Title: 5.4 Lipschitz estimates
          Destination: yjmaa128737.subsection.4:48
          Children: 
           Item: 
            Title: 5.4.1 Proof of Proposition 12
            Destination: yjmaa128737.subsubsection.1:50
       Item: 
        Title: 6 Appendix
        Destination: yjmaa128737.section.6:56
       Item: 
        Title: Acknowledgments
        Destination: yjmaa128737.section.6:61
       Item: 
        Title: References
        Destination: yjmaa128737.section.6:62
   Info: 
    Title: Analyticity of the flow for the aggregation equation
    Author: J.M. Burgués
    Subject: Journal of Mathematical Analysis and Applications, 541 (2025) 128737. 10.1016/j.jmaa.2024.128737
    Creator: Elsevier
    Producer: Acrobat Distiller 24.0 (Windows)
    CreationDate: Wed Jan 29 14:43:49 CET 2025
    ModDate: Wed Jan 29 14:43:49 CET 2025
   ID: 0xf218353ff98ac7e27addf71f89fe7f74, 0x642c1ac51387444ca4b16e6635579b13
   Filters: 
    FilterPipeline: FlateDecode
    FilterPipeline: DCTDecode
   Images: 
    Image: 
     NisoImageMetadata: 
      FormatName: image/jpg
      CompressionScheme: JPEG
      ImageWidth: 246
      ImageHeight: 272
      ColorSpace: RGB
      BitsPerSample: 8
      BitsPerSampleUnit: integer
    Image: 
     NisoImageMetadata: 
      FormatName: image/jpg
      CompressionScheme: JPEG
      ImageWidth: 236
      ImageHeight: 298
      ColorSpace: RGB
      BitsPerSample: 8
      BitsPerSampleUnit: integer
   Fonts: 
    Type1: 
     Font: 
      BaseFont: GDHKPA+LMRomanDemi10-Regular
      FontSubset: true
      FirstChar: 40
      LastChar: 148
      FontDescriptor: 
       FontName: GDHKPA+LMRomanDemi10-Regular
       Flags: Serif, Symbolic
       FontBBox: -442, -295, 1406, 1136
       FontFile3: true
      EncodingDictionary: 
       Differences: true
      ToUnicode: true
     Font: 
      BaseFont: GDHLAB+LMRoman10-Regular
      FontSubset: true
      FirstChar: 2
      LastChar: 246
      FontDescriptor: 
       FontName: GDHLAB+LMRoman10-Regular
       Flags: Serif, Symbolic
       FontBBox: -430, -290, 1417, 1127
       FontFile3: true
      EncodingDictionary: 
       Differences: true
      ToUnicode: true
     Font: 
      BaseFont: GDHLAC+MT2HRBT
      FontSubset: true
      FirstChar: 78
      LastChar: 84
      FontDescriptor: 
       FontName: GDHLAC+MT2HRBT
       Flags: Serif, Nonsymbolic
       FontBBox: -75, -287, 1121, 777
       FontFile3: true
      Encoding: WinAnsiEncoding
     Font: 
      BaseFont: GDHLAE+LMMathItalic10-Regular
      FontSubset: true
      FirstChar: 2
      LastChar: 181
      FontDescriptor: 
       FontName: GDHLAE+LMMathItalic10-Regular
       Flags: Symbolic, Italic
       FontBBox: -32, -250, 1048, 750
       FontFile3: true
      EncodingDictionary: 
       Differences: true
      ToUnicode: true
     Font: 
      BaseFont: GDHLAF+LMMathSymbols10-Regular
      FontSubset: true
      FirstChar: 2
      LastChar: 215
      FontDescriptor: 
       FontName: GDHLAF+LMMathSymbols10-Regular
       Flags: Symbolic, Italic
       FontBBox: -29, -960, 1116, 775
       FontFile3: true
      EncodingDictionary: 
       Differences: true
      ToUnicode: true
     Font: 
      BaseFont: GDHLBG+LMMathExtension10-Regular
      FontSubset: true
      FirstChar: 2
      LastChar: 32
      FontDescriptor: 
       FontName: GDHLBG+LMMathExtension10-Regular
       Flags: Symbolic
       FontBBox: -5, -2960, 1446, 772
       FontFile3: true
      EncodingDictionary: 
       Differences: true
      ToUnicode: true
     Font: 
      BaseFont: GDHLBH+LMMathSymbols7-Regular
      FontSubset: true
      FirstChar: 2
      LastChar: 183
      FontDescriptor: 
       FontName: GDHLBH+LMMathSymbols7-Regular
       Flags: Symbolic, Italic
       FontBBox: -15, -951, 1252, 782
       FontFile3: true
      EncodingDictionary: 
       Differences: true
      ToUnicode: true
     Font: 
      BaseFont: GDHLAD+LMMathItalic7-Regular
      FontSubset: true
      FirstChar: 2
      LastChar: 181
      FontDescriptor: 
       FontName: GDHLAD+LMMathItalic7-Regular
       Flags: Symbolic, Italic
       FontBBox: -1, -250, 1171, 750
       FontFile3: true
      EncodingDictionary: 
       Differences: true
      ToUnicode: true
     Font: 
      BaseFont: GDHKIG+LMRoman7-Regular
      FontSubset: true
      FirstChar: 2
      LastChar: 233
      FontDescriptor: 
       FontName: GDHKIG+LMRoman7-Regular
       Flags: Serif, Symbolic
       FontBBox: -483, -292, 1562, 1124
       FontFile3: true
      EncodingDictionary: 
       Differences: true
      ToUnicode: true
     Font: 
      BaseFont: GDHKKH+LMRoman12-Regular
      FontSubset: true
      FirstChar: 44
      LastChar: 233
      FontDescriptor: 
       FontName: GDHKKH+LMRoman12-Regular
       Flags: Serif, Symbolic
       FontBBox: -422, -280, 1394, 1127
       FontFile3: true
      EncodingDictionary: 
       Differences: true
      ToUnicode: true
     Font: 
      BaseFont: GDHKKI+Helvetica
      FontSubset: true
      FirstChar: 32
      LastChar: 32
      FontDescriptor: 
       FontName: GDHKKI+Helvetica
       Flags: Nonsymbolic
       FontBBox: -166, -225, 1000, 931
       FontFile3: true
      Encoding: WinAnsiEncoding
     Font: 
      BaseFont: GDHLCH+LMRoman10-Italic
      FontSubset: true
      FirstChar: 2
      LastChar: 148
      FontDescriptor: 
       FontName: GDHLCH+LMRoman10-Italic
       Flags: Symbolic, Italic
       FontBBox: -458, -290, 1386, 1125
       FontFile3: true
      EncodingDictionary: 
       Differences: true
      ToUnicode: true
     Font: 
      BaseFont: GDHKKG+LMSans8-Regular
      FontSubset: true
      FirstChar: 46
      LastChar: 119
      FontDescriptor: 
       FontName: GDHKKG+LMSans8-Regular
       Flags: Symbolic
       FontBBox: -446, -314, 1510, 1154
       FontFile3: true
      EncodingDictionary: 
       Differences: true
      ToUnicode: true
     Font: 
      BaseFont: GDHLHH+LMMathItalic5-Regular
      FontSubset: true
      FirstChar: 2
      LastChar: 181
      FontDescriptor: 
       FontName: GDHLHH+LMMathItalic5-Regular
       Flags: Symbolic, Italic
       FontBBox: 0, -250, 1349, 750
       FontFile3: true
      EncodingDictionary: 
       Differences: true
      ToUnicode: true
     Font: 
      BaseFont: GDHLHG+LMRoman5-Regular
      FontSubset: true
      FirstChar: 2
      LastChar: 61
      FontDescriptor: 
       FontName: GDHLHG+LMRoman5-Regular
       Flags: Serif, Symbolic
       FontBBox: -566, -303, 1772, 1126
       FontFile3: true
      EncodingDictionary: 
       Differences: true
      ToUnicode: true
     Font: 
      BaseFont: GDHKNJ+LMMathSymbols8-Regular
      FontSubset: true
      FirstChar: 2
      LastChar: 67
      FontDescriptor: 
       FontName: GDHKNJ+LMMathSymbols8-Regular
       Flags: Symbolic, Italic
       FontBBox: -30, -955, 1185, 779
       FontFile3: true
      EncodingDictionary: 
       Differences: true
      ToUnicode: true
     Font: 
      BaseFont: GDHLHI+wasy10
      FontSubset: true
      FirstChar: 2
      LastChar: 2
      FontDescriptor: 
       FontName: GDHLHI+wasy10
       Flags: Symbolic
       FontBBox: -23, -1667, 1720, 752
       FontFile3: true
      EncodingDictionary: 
       Differences: true
     Font: 
      BaseFont: GDHKNI+LMRoman17-Regular
      FontSubset: true
      FirstChar: 65
      LastChar: 148
      FontDescriptor: 
       FontName: GDHKNI+LMRoman17-Regular
       Flags: Serif, Symbolic
       FontBBox: -400, -286, 1338, 1125
       FontFile3: true
      EncodingDictionary: 
       Differences: true
      ToUnicode: true
     Font: 
      BaseFont: GDHKNN+MT2HRBS
      FontSubset: true
      FirstChar: 82
      LastChar: 82
      FontDescriptor: 
       FontName: GDHKNN+MT2HRBS
       Flags: Serif, Nonsymbolic
       FontBBox: -75, -264, 1236, 826
       FontFile3: true
      Encoding: WinAnsiEncoding
     Font: 
      BaseFont: GDHKNO+LMMathItalic6-Regular
      FontSubset: true
      FirstChar: 2
      LastChar: 110
      FontDescriptor: 
       FontName: GDHKNO+LMMathItalic6-Regular
       Flags: Symbolic, Italic
       FontBBox: 0, -250, 1241, 750
       FontFile3: true
      EncodingDictionary: 
       Differences: true
      ToUnicode: true
     Font: 
      BaseFont: GDHKOO+LMRoman6-Regular
      FontSubset: true
      FirstChar: 49
      LastChar: 49
      FontDescriptor: 
       FontName: GDHKOO+LMRoman6-Regular
       Flags: Serif, Symbolic
       FontBBox: -515, -298, 1647, 1125
       FontFile3: true
      EncodingDictionary: 
       Differences: true
      ToUnicode: true
     Font: 
      BaseFont: GDHKOP+LMMathItalic8-Regular
      FontSubset: true
      FirstChar: 2
      LastChar: 44
      FontDescriptor: 
       FontName: GDHKOP+LMMathItalic8-Regular
       Flags: Symbolic, Italic
       FontBBox: -24, -250, 1110, 750
       FontFile3: true
      EncodingDictionary: 
       Differences: true
      ToUnicode: true
     Font: 
      BaseFont: GDHLKI+MSAM10
      FontSubset: true
      FirstChar: 2
      LastChar: 5
      FontDescriptor: 
       FontName: GDHLKI+MSAM10
       Flags: Symbolic
       FontBBox: 7, -463, 1331, 1003
       FontFile3: true
      EncodingDictionary: 
       Differences: true
     Font: 
      BaseFont: GDHKNK+LMRoman7-Italic
      FontSubset: true
      FirstChar: 40
      LastChar: 242
      FontDescriptor: 
       FontName: GDHKNK+LMRoman7-Italic
       Flags: Symbolic, Italic
       FontBBox: -528, -292, 1571, 1123
       FontFile3: true
      EncodingDictionary: 
       Differences: true
      ToUnicode: true
     Font: 
      BaseFont: GDHKNL+LMRomanCaps10-Regular
      FontSubset: true
      FirstChar: 97
      LastChar: 116
      FontDescriptor: 
       FontName: GDHKNL+LMRomanCaps10-Regular
       Flags: Serif, Symbolic
       FontBBox: -496, -290, 1501, 1100
       FontFile3: true
      EncodingDictionary: 
       Differences: true
      ToUnicode: true
     Font: 
      BaseFont: GDHKNM+LMRoman8-Regular
      FontSubset: true
      FirstChar: 2
      LastChar: 252
      FontDescriptor: 
       FontName: GDHKNM+LMRoman8-Regular
       Flags: Serif, Symbolic
       FontBBox: -456, -292, 1497, 1125
       FontFile3: true
      EncodingDictionary: 
       Differences: true
      ToUnicode: true
     Font: 
      BaseFont: GDHLLJ+LMMathSymbols5-Regular
      FontSubset: true
      FirstChar: 2
      LastChar: 138
      FontDescriptor: 
       FontName: GDHLLJ+LMMathSymbols5-Regular
       Flags: Symbolic, Italic
       FontBBox: 0, -944, 1448, 791
       FontFile3: true
      EncodingDictionary: 
       Differences: true
      ToUnicode: true
     Font: 
      BaseFont: GDHLPI+MT2HRBF
      FontSubset: true
      FirstChar: 82
      LastChar: 82
      FontDescriptor: 
       FontName: GDHLPI+MT2HRBF
       Flags: Serif, Nonsymbolic
       FontBBox: -75, -223, 1431, 871
       FontFile3: true
      Encoding: WinAnsiEncoding
     Font: 
      BaseFont: GDHMCI+MSBM10
      FontSubset: true
      FirstChar: 2
      LastChar: 2
      FontDescriptor: 
       FontName: GDHMCI+MSBM10
       Flags: Symbolic
       FontBBox: -11, 588, 2343, 847
       FontFile3: true
      EncodingDictionary: 
       Differences: true
      ToUnicode: true
   XMP: <x:xmpmeta xmlns:x="adobe:ns:meta/" x:xmptk="Adobe XMP Core 9.1-c001 79.675d0f7, 2023/06/11-19:21:16        ">
   <rdf:RDF xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#">
      <rdf:Description rdf:about=""
            xmlns:tdm="http://www.w3.org/ns/tdmrep/"
            xmlns:dc="http://purl.org/dc/elements/1.1/"
            xmlns:prism="http://prismstandard.org/namespaces/basic/3.0/"
            xmlns:crossmark="http://crossref.org/crossmark/1.0/"
            xmlns:jav="http://www.niso.org/schemas/jav/1.0/"
            xmlns:pdfx="http://ns.adobe.com/pdfx/1.3/"
            xmlns:xmp="http://ns.adobe.com/xap/1.0/"
            xmlns:xmpRights="http://ns.adobe.com/xap/1.0/rights/"
            xmlns:pdf="http://ns.adobe.com/pdf/1.3/"
            xmlns:xmpMM="http://ns.adobe.com/xap/1.0/mm/"
            xmlns:ali="http://www.niso.org/schemas/ali/1.0/">
         <tdm:reservation>1</tdm:reservation>
         <tdm:policy>https://www.elsevier.com/tdm/tdmrep-policy.json</tdm:policy>
         <dc:format>application/pdf</dc:format>
         <dc:identifier>doi:10.1016/j.jmaa.2024.128737</dc:identifier>
         <dc:title>
            <rdf:Alt>
               <rdf:li xml:lang="x-default">Analyticity of the flow for the aggregation equation</rdf:li>
            </rdf:Alt>
         </dc:title>
         <dc:creator>
            <rdf:Seq>
               <rdf:li>J.M. Burgués</rdf:li>
               <rdf:li>J. Mateu</rdf:li>
            </rdf:Seq>
         </dc:creator>
         <dc:subject>
            <rdf:Bag>
               <rdf:li>Aggregation equation</rdf:li>
               <rdf:li>Riesz transform</rdf:li>
               <rdf:li>Analytic flow</rdf:li>
            </rdf:Bag>
         </dc:subject>
         <dc:description>
            <rdf:Alt>
               <rdf:li xml:lang="x-default">Journal of Mathematical Analysis and Applications, 541 (2025) 128737. 10.1016/j.jmaa.2024.128737</rdf:li>
            </rdf:Alt>
         </dc:description>
         <dc:publisher>
            <rdf:Bag>
               <rdf:li>Elsevier Inc.</rdf:li>
            </rdf:Bag>
         </dc:publisher>
         <prism:aggregationType>journal</prism:aggregationType>
         <prism:publicationName>Journal of Mathematical Analysis and Applications</prism:publicationName>
         <prism:copyright>© 2025 The Authors. Published by Elsevier Inc.</prism:copyright>
         <prism:issn>0022-247X</prism:issn>
         <prism:volume>541</prism:volume>
         <prism:number>2</prism:number>
         <prism:pageRange>128737</prism:pageRange>
         <prism:startingPage>128737</prism:startingPage>
         <prism:doi>10.1016/j.jmaa.2024.128737</prism:doi>
         <prism:url>https://doi.org/10.1016/j.jmaa.2024.128737</prism:url>
         <prism:coverDate>2025-01-15</prism:coverDate>
         <prism:coverDisplayDate>15 January 2025</prism:coverDisplayDate>
         <crossmark:MajorVersionDate>2010-04-23</crossmark:MajorVersionDate>
         <crossmark:CrossmarkDomainExclusive>true</crossmark:CrossmarkDomainExclusive>
         <crossmark:DOI>10.1016/j.jmaa.2024.128737</crossmark:DOI>
         <crossmark:CrossMarkDomains>
            <rdf:Seq>
               <rdf:li>elsevier.com</rdf:li>
               <rdf:li>sciencedirect.com</rdf:li>
            </rdf:Seq>
         </crossmark:CrossMarkDomains>
         <jav:journal_article_version>VoR</jav:journal_article_version>
         <pdfx:doi>10.1016/j.jmaa.2024.128737</pdfx:doi>
         <pdfx:robots>noindex</pdfx:robots>
         <pdfx:CrossmarkMajorVersionDate>2010-04-23</pdfx:CrossmarkMajorVersionDate>
         <pdfx:CrossmarkDomainExclusive>true</pdfx:CrossmarkDomainExclusive>
         <LMfnsyMuKnPn.yPmGn9qPmcNNyM6Rlt-OmdiGyM6Mm.r9zgn_zt6Mo9eQndmKnt-Ond-Tma/>
         <pdfx:CrossMarkDomains>
            <rdf:Seq>
               <rdf:li>elsevier.com</rdf:li>
               <rdf:li>sciencedirect.com</rdf:li>
            </rdf:Seq>
         </pdfx:CrossMarkDomains>
         <xmp:CreatorTool>Elsevier</xmp:CreatorTool>
         <xmp:ModifyDate>2025-01-29T15:43:49+02:00</xmp:ModifyDate>
         <xmp:CreateDate>2025-01-29T15:43:49+02:00</xmp:CreateDate>
         <xmp:MetadataDate>2025-01-29T15:43:49+02:00</xmp:MetadataDate>
         <xmpRights:Marked>True</xmpRights:Marked>
         <pdf:Producer>Acrobat Distiller 24.0 (Windows)</pdf:Producer>
         <xmpMM:DocumentID>uuid:aa3bf0f5-b9b9-4360-afad-276f3bc0e02d</xmpMM:DocumentID>
         <xmpMM:InstanceID>uuid:23cbd7be-844b-47d4-922c-c29e22a3f848</xmpMM:InstanceID>
         <ali:license_ref>
            <rdf:Bag>
               <rdf:li rdf:parseType="Resource">
                  <ali:uri>http://creativecommons.org/licenses/by-nc-nd/4.0/</ali:uri>
               </rdf:li>
            </rdf:Bag>
         </ali:license_ref>
      </rdf:Description>
   </rdf:RDF>
</x:xmpmeta>
   Pages: 
    Page: 
     Label: 1
     Annotations: 
      Annotation: 
       Subtype: Link
       Rect: 205, 708, 351, 715
      Annotation: 
       Subtype: Link
       Rect: 302, 673, 350, 681
      Annotation: 
       Subtype: Link
       Rect: 259, 617, 368, 625
      Annotation: 
       Subtype: Link
       Rect: 453, 545, 483, 559
      Annotation: 
       Subtype: Link
       Rect: 109, 541, 114, 551
       Destination: 1363
      Annotation: 
       Subtype: Link
       Rect: 484, 399, 511, 407
      Annotation: 
       Subtype: Link
       Rect: 340, 389, 505, 397
      Annotation: 
       Subtype: Link
       Rect: 237, 124, 244, 132
       Destination: 319
      Annotation: 
       Subtype: Link
       Rect: 125, 81, 227, 88
      Annotation: 
       Subtype: Link
       Rect: 289, 81, 362, 88
      Annotation: 
       Subtype: Link
       Rect: 45, 62, 202, 69
      Annotation: 
       Subtype: Link
       Rect: 48, 44, 234, 52
    Page: 
     Label: 2
     Sequence: 2
     Annotations: 
      Annotation: 
       Subtype: Link
       Rect: 271, 563, 279, 572
       Destination: 1363
      Annotation: 
       Subtype: Link
       Rect: 211, 496, 220, 505
       Destination: 1363
      Annotation: 
       Subtype: Link
       Rect: 381, 497, 388, 505
       Destination: 319
      Annotation: 
       Subtype: Link
       Rect: 132, 381, 141, 390
       Destination: 1363
      Annotation: 
       Subtype: Link
       Rect: 173, 381, 182, 390
       Destination: 1
      Annotation: 
       Subtype: Link
       Rect: 72, 302, 79, 310
       Destination: 319
      Annotation: 
       Subtype: Link
       Rect: 88, 302, 95, 310
       Destination: 319
      Annotation: 
       Subtype: Link
       Rect: 105, 302, 112, 310
       Destination: 319
      Annotation: 
       Subtype: Link
       Rect: 122, 302, 129, 310
       Destination: 319
      Annotation: 
       Subtype: Link
       Rect: 250, 288, 257, 296
       Destination: 319
      Annotation: 
       Subtype: Link
       Rect: 150, 261, 162, 269
       Destination: 319
      Annotation: 
       Subtype: Link
       Rect: 74, 180, 86, 188
       Destination: 319
      Annotation: 
       Subtype: Link
       Rect: 74, 126, 81, 134
       Destination: 319
      Annotation: 
       Subtype: Link
       Rect: 152, 59, 159, 67
       Destination: 319
    Page: 
     Label: 3
     Sequence: 3
     Annotations: 
      Annotation: 
       Subtype: Link
       Rect: 102, 677, 111, 686
       Destination: 1
      Annotation: 
       Subtype: Link
       Rect: 326, 678, 333, 686
       Destination: 319
      Annotation: 
       Subtype: Link
       Rect: 468, 594, 475, 602
       Destination: 319
      Annotation: 
       Subtype: Link
       Rect: 438, 553, 445, 561
       Destination: 319
      Annotation: 
       Subtype: Link
       Rect: 169, 513, 176, 521
       Destination: 319
      Annotation: 
       Subtype: Link
       Rect: 499, 498, 507, 507
       Destination: 1363
      Annotation: 
       Subtype: Link
       Rect: 314, 400, 326, 408
       Destination: 319
      Annotation: 
       Subtype: Link
       Rect: 420, 358, 426, 367
       Destination: 18
      Annotation: 
       Subtype: Link
       Rect: 298, 345, 304, 354
       Destination: 18
      Annotation: 
       Subtype: Link
       Rect: 190, 331, 196, 340
       Destination: 1
      Annotation: 
       Subtype: Link
       Rect: 501, 331, 507, 340
       Destination: 18
      Annotation: 
       Subtype: Link
       Rect: 258, 263, 264, 272
       Destination: 18
      Annotation: 
       Subtype: Link
       Rect: 204, 250, 212, 259
       Destination: 1
      Annotation: 
       Subtype: Link
       Rect: 343, 250, 352, 259
       Destination: 1363
      Annotation: 
       Subtype: Link
       Rect: 499, 250, 507, 259
       Destination: 1363
      Annotation: 
       Subtype: Link
       Rect: 257, 236, 263, 245
       Destination: 1
      Annotation: 
       Subtype: Link
       Rect: 361, 236, 367, 245
       Destination: 18
      Annotation: 
       Subtype: Link
       Rect: 308, 210, 315, 218
       Destination: 319
      Annotation: 
       Subtype: Link
       Rect: 97, 197, 104, 205
       Destination: 319
      Annotation: 
       Subtype: Link
       Rect: 238, 196, 247, 205
       Destination: 1363
      Annotation: 
       Subtype: Link
       Rect: 102, 85, 108, 94
       Destination: 42
    Page: 
     Label: 4
     Sequence: 4
     Annotations: 
      Annotation: 
       Subtype: Link
       Rect: 330, 677, 336, 686
       Destination: 108
      Annotation: 
       Subtype: Link
       Rect: 102, 663, 108, 672
       Destination: 1
      Annotation: 
       Subtype: Link
       Rect: 461, 664, 468, 672
       Destination: 319
      Annotation: 
       Subtype: Link
       Rect: 96, 636, 102, 645
       Destination: 68
      Annotation: 
       Subtype: Link
       Rect: 266, 636, 272, 645
       Destination: 108
      Annotation: 
       Subtype: Link
       Rect: 422, 609, 428, 618
       Destination: 201
      Annotation: 
       Subtype: Link
       Rect: 104, 582, 110, 591
       Destination: 130
      Annotation: 
       Subtype: Link
       Rect: 192, 569, 198, 578
       Destination: 108
      Annotation: 
       Subtype: Link
       Rect: 126, 555, 132, 564
       Destination: 187
      Annotation: 
       Subtype: Link
       Rect: 390, 555, 396, 564
       Destination: 201
      Annotation: 
       Subtype: Link
       Rect: 286, 542, 292, 551
       Destination: 108
      Annotation: 
       Subtype: Link
       Rect: 194, 528, 200, 537
       Destination: 1
      Annotation: 
       Subtype: Link
       Rect: 486, 241, 493, 249
       Destination: 319
    Page: 
     Label: 5
     Sequence: 5
     Annotations: 
      Annotation: 
       Subtype: Link
       Rect: 123, 478, 135, 486
       Destination: 319
    Page: 
     Label: 6
     Sequence: 6
    Page: 
     Label: 7
     Sequence: 7
    Page: 
     Label: 8
     Sequence: 8
     Annotations: 
      Annotation: 
       Subtype: Link
       Rect: 309, 463, 316, 471
       Destination: 319
      Annotation: 
       Subtype: Link
       Rect: 273, 406, 279, 415
       Destination: 1
      Annotation: 
       Subtype: Link
       Rect: 176, 393, 183, 401
       Destination: 319
      Annotation: 
       Subtype: Link
       Rect: 282, 379, 291, 388
       Destination: 1363
      Annotation: 
       Subtype: Link
       Rect: 262, 298, 268, 307
       Destination: 42
      Annotation: 
       Subtype: Link
       Rect: 404, 183, 411, 191
       Destination: 319
      Annotation: 
       Subtype: Link
       Rect: 290, 168, 296, 177
       Destination: 1
      Annotation: 
       Subtype: Link
       Rect: 314, 86, 326, 94
       Destination: 319
    Page: 
     Label: 9
     Sequence: 9
     Annotations: 
      Annotation: 
       Subtype: Link
       Rect: 208, 567, 215, 575
       Destination: 319
      Annotation: 
       Subtype: Link
       Rect: 48, 208, 54, 217
       Destination: 81
      Annotation: 
       Subtype: Link
       Rect: 261, 208, 267, 217
       Destination: 81
      Annotation: 
       Subtype: Link
       Rect: 315, 208, 321, 217
       Destination: 81
      Annotation: 
       Subtype: Link
       Rect: 351, 208, 362, 217
       Destination: 81
      Annotation: 
       Subtype: Link
       Rect: 225, 182, 231, 191
       Destination: 81
      Annotation: 
       Subtype: Link
       Rect: 330, 182, 336, 191
       Destination: 81
      Annotation: 
       Subtype: Link
       Rect: 459, 182, 465, 191
       Destination: 81
      Annotation: 
       Subtype: Link
       Rect: 493, 182, 504, 191
       Destination: 81
      Annotation: 
       Subtype: Link
       Rect: 186, 169, 192, 178
       Destination: 81
      Annotation: 
       Subtype: Link
       Rect: 347, 169, 353, 178
       Destination: 81
      Annotation: 
       Subtype: Link
       Rect: 382, 169, 393, 178
       Destination: 81
      Annotation: 
       Subtype: Link
       Rect: 328, 116, 334, 125
       Destination: 81
      Annotation: 
       Subtype: Link
       Rect: 347, 116, 353, 125
       Destination: 81
      Annotation: 
       Subtype: Link
       Rect: 383, 116, 394, 125
       Destination: 81
      Annotation: 
       Subtype: Link
       Rect: 146, 103, 155, 112
       Destination: 1363
      Annotation: 
       Subtype: Link
       Rect: 182, 45, 189, 53
       Destination: 319
    Page: 
     Label: 10
     Sequence: 10
    Page: 
     Label: 11
     Sequence: 11
     Annotations: 
      Annotation: 
       Subtype: Link
       Rect: 174, 44, 185, 53
       Destination: 101
    Page: 
     Label: 12
     Sequence: 12
     Annotations: 
      Annotation: 
       Subtype: Link
       Rect: 109, 566, 120, 575
       Destination: 101
      Annotation: 
       Subtype: Link
       Rect: 252, 540, 258, 549
       Destination: 1
      Annotation: 
       Subtype: Link
       Rect: 101, 500, 110, 509
       Destination: 1363
      Annotation: 
       Subtype: Link
       Rect: 208, 344, 214, 353
       Destination: 130
      Annotation: 
       Subtype: Link
       Rect: 267, 319, 278, 328
       Destination: 108
      Annotation: 
       Subtype: Link
       Rect: 223, 239, 234, 248
       Destination: 108
      Annotation: 
       Subtype: Link
       Rect: 142, 212, 151, 221
       Destination: 1363
    Page: 
     Label: 13
     Sequence: 13
     Annotations: 
      Annotation: 
       Subtype: Link
       Rect: 158, 59, 165, 67
       Destination: 319
    Page: 
     Label: 14
     Sequence: 14
     Annotations: 
      Annotation: 
       Subtype: Link
       Rect: 199, 677, 205, 686
       Destination: 1
      Annotation: 
       Subtype: Link
       Rect: 220, 627, 231, 636
       Destination: 108
      Annotation: 
       Subtype: Link
       Rect: 157, 207, 166, 216
       Destination: 1363
      Annotation: 
       Subtype: Link
       Rect: 408, 207, 417, 216
       Destination: 1
      Annotation: 
       Subtype: Link
       Rect: 219, 181, 226, 189
       Destination: 319
    Page: 
     Label: 15
     Sequence: 15
     Annotations: 
      Annotation: 
       Subtype: Link
       Rect: 351, 636, 362, 645
       Destination: 108
      Annotation: 
       Subtype: Link
       Rect: 276, 609, 282, 618
       Destination: 101
      Annotation: 
       Subtype: Link
       Rect: 48, 596, 59, 605
       Destination: 108
      Annotation: 
       Subtype: Link
       Rect: 97, 582, 103, 591
       Destination: 101
      Annotation: 
       Subtype: Link
       Rect: 125, 462, 136, 471
       Destination: 81
      Annotation: 
       Subtype: Link
       Rect: 125, 262, 131, 271
       Destination: 81
    Page: 
     Label: 16
     Sequence: 16
    Page: 
     Label: 17
     Sequence: 17
    Page: 
     Label: 18
     Sequence: 18
     Annotations: 
      Annotation: 
       Subtype: Link
       Rect: 182, 411, 193, 420
       Destination: 142
      Annotation: 
       Subtype: Link
       Rect: 287, 411, 293, 420
       Destination: 142
      Annotation: 
       Subtype: Link
       Rect: 323, 347, 329, 356
       Destination: 68
    Page: 
     Label: 19
     Sequence: 19
     Annotations: 
      Annotation: 
       Subtype: Link
       Rect: 80, 240, 86, 249
       Destination: 42
      Annotation: 
       Subtype: Link
       Rect: 391, 176, 397, 185
       Destination: 297
      Annotation: 
       Subtype: Link
       Rect: 501, 177, 508, 185
       Destination: 319
    Page: 
     Label: 20
     Sequence: 20
     Annotations: 
      Annotation: 
       Subtype: Link
       Rect: 420, 257, 426, 266
       Destination: 201
      Annotation: 
       Subtype: Link
       Rect: 482, 257, 488, 266
       Destination: 187
    Page: 
     Label: 21
     Sequence: 21
    Page: 
     Label: 22
     Sequence: 22
    Page: 
     Label: 23
     Sequence: 23
     Annotations: 
      Annotation: 
       Subtype: Link
       Rect: 278, 472, 285, 480
       Destination: 319
    Page: 
     Label: 24
     Sequence: 24
     Annotations: 
      Annotation: 
       Subtype: Link
       Rect: 397, 312, 408, 321
       Destination: 172
      Annotation: 
       Subtype: Link
       Rect: 183, 84, 194, 93
       Destination: 172
    Page: 
     Label: 25
     Sequence: 25
    Page: 
     Label: 26
     Sequence: 26
     Annotations: 
      Annotation: 
       Subtype: Link
       Rect: 198, 427, 204, 436
       Destination: 108
      Annotation: 
       Subtype: Link
       Rect: 357, 98, 368, 107
       Destination: 101
      Annotation: 
       Subtype: Link
       Rect: 397, 98, 408, 107
       Destination: 101
      Annotation: 
       Subtype: Link
       Rect: 180, 45, 187, 53
       Destination: 319
    Page: 
     Label: 27
     Sequence: 27
     Annotations: 
      Annotation: 
       Subtype: Link
       Rect: 86, 635, 92, 644
       Destination: 108
      Annotation: 
       Subtype: Link
       Rect: 450, 259, 457, 267
       Destination: 319
      Annotation: 
       Subtype: Link
       Rect: 230, 233, 242, 241
       Destination: 319
      Annotation: 
       Subtype: Link
       Rect: 420, 44, 426, 53
       Destination: 187
    Page: 
     Label: 28
     Sequence: 28
     Annotations: 
      Annotation: 
       Subtype: Link
       Rect: 264, 253, 271, 261
       Destination: 319
    Page: 
     Label: 29
     Sequence: 29
    Page: 
     Label: 30
     Sequence: 30
     Annotations: 
      Annotation: 
       Subtype: Link
       Rect: 334, 500, 340, 509
       Destination: 187
    Page: 
     Label: 31
     Sequence: 31
     Annotations: 
      Annotation: 
       Subtype: Link
       Rect: 256, 516, 262, 525
       Destination: 194
      Annotation: 
       Subtype: Link
       Rect: 57, 490, 64, 498
       Destination: 319
      Annotation: 
       Subtype: Link
       Rect: 335, 338, 341, 347
       Destination: 205
      Annotation: 
       Subtype: Link
       Rect: 364, 338, 370, 347
       Destination: 213
      Annotation: 
       Subtype: Link
       Rect: 293, 162, 299, 171
       Destination: 201
    Page: 
     Label: 32
     Sequence: 32
    Page: 
     Label: 33
     Sequence: 33
    Page: 
     Label: 34
     Sequence: 34
    Page: 
     Label: 35
     Sequence: 35
     Annotations: 
      Annotation: 
       Subtype: Link
       Rect: 359, 106, 365, 115
       Destination: 201
    Page: 
     Label: 36
     Sequence: 36
     Annotations: 
      Annotation: 
       Subtype: Link
       Rect: 170, 636, 181, 645
       Destination: 222
      Annotation: 
       Subtype: Link
       Rect: 328, 623, 335, 631
       Destination: 319
      Annotation: 
       Subtype: Link
       Rect: 169, 542, 175, 551
       Destination: 194
    Page: 
     Label: 37
     Sequence: 37
     Annotations: 
      Annotation: 
       Subtype: Link
       Rect: 397, 381, 403, 390
       Destination: 18
    Page: 
     Label: 38
     Sequence: 38
    Page: 
     Label: 39
     Sequence: 39
    Page: 
     Label: 40
     Sequence: 40
    Page: 
     Label: 41
     Sequence: 41
    Page: 
     Label: 42
     Sequence: 42
    Page: 
     Label: 43
     Sequence: 43
    Page: 
     Label: 44
     Sequence: 44
    Page: 
     Label: 45
     Sequence: 45
    Page: 
     Label: 46
     Sequence: 46
     Annotations: 
      Annotation: 
       Subtype: Link
       Rect: 243, 408, 249, 417
       Destination: 187
    Page: 
     Label: 47
     Sequence: 47
    Page: 
     Label: 48
     Sequence: 48
    Page: 
     Label: 49
     Sequence: 49
     Annotations: 
      Annotation: 
       Subtype: Link
       Rect: 284, 397, 290, 406
       Destination: 187
      Annotation: 
       Subtype: Link
       Rect: 210, 245, 216, 254
       Destination: 257
    Page: 
     Label: 50
     Sequence: 50
     Annotations: 
      Annotation: 
       Subtype: Link
       Rect: 398, 377, 404, 386
       Destination: 187
    Page: 
     Label: 51
     Sequence: 51
     Annotations: 
      Annotation: 
       Subtype: Link
       Rect: 159, 508, 165, 517
       Destination: 81
      Annotation: 
       Subtype: Link
       Rect: 163, 482, 175, 490
       Destination: 319
    Page: 
     Label: 52
     Sequence: 52
     Annotations: 
      Annotation: 
       Subtype: Link
       Rect: 289, 587, 296, 595
       Destination: 319
      Annotation: 
       Subtype: Link
       Rect: 62, 286, 74, 294
       Destination: 319
    Page: 
     Label: 53
     Sequence: 53
     Annotations: 
      Annotation: 
       Subtype: Link
       Rect: 364, 102, 370, 111
       Destination: 194
    Page: 
     Label: 54
     Sequence: 54
     Annotations: 
      Annotation: 
       Subtype: Link
       Rect: 342, 623, 356, 632
       Destination: 68
    Page: 
     Label: 55
     Sequence: 55
     Annotations: 
      Annotation: 
       Subtype: Link
       Rect: 497, 366, 509, 374
       Destination: 319
      Annotation: 
       Subtype: Link
       Rect: 65, 352, 77, 360
       Destination: 319
      Annotation: 
       Subtype: Link
       Rect: 156, 326, 162, 335
       Destination: 130
    Page: 
     Label: 56
     Sequence: 56
    Page: 
     Label: 57
     Sequence: 57
    Page: 
     Label: 58
     Sequence: 58
     Annotations: 
      Annotation: 
       Subtype: Link
       Rect: 297, 677, 303, 686
       Destination: 297
      Annotation: 
       Subtype: Link
       Rect: 178, 338, 189, 347
       Destination: 293
    Page: 
     Label: 59
     Sequence: 59
     Annotations: 
      Annotation: 
       Subtype: Link
       Rect: 291, 677, 302, 686
       Destination: 293
      Annotation: 
       Subtype: Link
       Rect: 369, 44, 380, 53
       Destination: 293
    Page: 
     Label: 60
     Sequence: 60
     Annotations: 
      Annotation: 
       Subtype: Link
       Rect: 65, 574, 515, 580
      Annotation: 
       Subtype: Link
       Rect: 65, 563, 240, 571
      Annotation: 
       Subtype: Link
       Rect: 65, 555, 515, 561
      Annotation: 
       Subtype: Link
       Rect: 65, 544, 387, 552
      Annotation: 
       Subtype: Link
       Rect: 65, 536, 515, 542
      Annotation: 
       Subtype: Link
       Rect: 65, 525, 351, 533
      Annotation: 
       Subtype: Link
       Rect: 65, 516, 421, 523
      Annotation: 
       Subtype: Link
       Rect: 65, 507, 515, 513
      Annotation: 
       Subtype: Link
       Rect: 65, 497, 515, 503
      Annotation: 
       Subtype: Link
       Rect: 65, 488, 176, 494
      Annotation: 
       Subtype: Link
       Rect: 65, 478, 515, 484
      Annotation: 
       Subtype: Link
       Rect: 65, 469, 433, 475
      Annotation: 
       Subtype: Link
       Rect: 65, 458, 506, 466
      Annotation: 
       Subtype: Link
       Rect: 65, 449, 515, 457
      Annotation: 
       Subtype: Link
       Rect: 65, 439, 298, 447
      Annotation: 
       Subtype: Link
       Rect: 65, 429, 514, 437
      Annotation: 
       Subtype: Link
       Rect: 65, 421, 515, 427
      Annotation: 
       Subtype: Link
       Rect: 65, 410, 302, 418
      Annotation: 
       Subtype: Link
       Rect: 65, 402, 515, 408
      Annotation: 
       Subtype: Link
       Rect: 65, 392, 269, 398
      Annotation: 
       Subtype: Link
       Rect: 65, 383, 515, 389
      Annotation: 
       Subtype: Link
       Rect: 65, 372, 285, 380
      Annotation: 
       Subtype: Link
       Rect: 65, 363, 515, 369
      Annotation: 
       Subtype: Link
       Rect: 65, 354, 213, 360
      Annotation: 
       Subtype: Link
       Rect: 65, 343, 515, 352
      Annotation: 
       Subtype: Link
       Rect: 65, 334, 123, 342
      Annotation: 
       Subtype: Link
       Rect: 65, 325, 515, 331
      Annotation: 
       Subtype: Link
       Rect: 65, 316, 126, 322
      Annotation: 
       Subtype: Link
       Rect: 65, 305, 515, 313
      Annotation: 
       Subtype: Link
       Rect: 65, 296, 132, 304
  Checksum: 2cf6b4b0
   Type: CRC32
  Checksum: 3564dcef4946948d131bea6895116dde
   Type: MD5
  Checksum: e6acdc9ce57974c4841a32df331431bd874f53e0
   Type: SHA-1
  Checksum: 5a3e01cbdde866a2737059c45bc8cfee363ab19ac26c13da63d15007693dddfe
   Type: SHA-256